1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SIZIF [17.4K]
2 years ago
15

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Mathematics
1 answer:
Sphinxa [80]2 years ago
3 0

Answer:

x=2.125

y=0

C=19.125

Step-by-step explanation:

To solve this problem we can use a graphical method, we start first noticing the restrictions x\geq 0 and  y\geq 0, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 8x+10y\leq 17 shown in purple, then we can plot the second one 11x+12y\leq 25 shown in the second plot in green.

The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.

You might be interested in
Is (3,7) A solution why or why not?
galben [10]
What? Can you attach a photo?
6 0
2 years ago
Read 2 more answers
A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates
postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as y=mx+c where m is the slope and c is the intercept on the y-axis. The slope describes how y changes when x changes. A negative value means the it is a decreasing change. In our case, y is A and x is t. Thus, the slope of the equation is m=-0.062. This means that the area of glacier is decreasing by 0.062 \text{km}{}^2 = 62000 \text{m}{}^2 every year since 2000.

b) The A-intercept (= 16.2 \text{km}{}^2) represents the area covered when t=0. But t=0 starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 \text{km}{}^2.

c) A=f(t) means the area covered after year 2000. Setting it to 12 means the area covered after t years is 12 \text{km}{}^2). t is therefore the number of years since 2000 that the total area covered will be 12 \text{km}{}^2).

d) f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2 to 1 decimal place.

e) The term involving t represents the disappearing area. In 12 years, the disappeared area is 0.062\times12=0.744 =0.7 \text{km}{}^2 to 1 decimal place.

f) f(t)=16.2−0.062t =12

0.062t = 16.2-12 = 4.2

t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7 years to 1 decimal place.

8 0
3 years ago
A movie theatre has 26 rows of seats.There are 18 seats in each row.How many seats are there in all?
lawyer [7]
468 seats is the answer.

26 x 18

or

13 x 2 x 9 x 2

both equal 468
5 0
3 years ago
24. Solve<br>x + 2y = 3<br>x-y=6​
musickatia [10]

Answer:

x=−2y+3  and x=y+6

Step-by-step explanation:

x+2y=3

x+2y+−2y=3+−2y

x=−2y+3

x−y=6

x−y+y=6+y

x=y+6

3 0
3 years ago
Find c and round. (geometry)
snow_lady [41]

Answer:

4.24483 or 4.2

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • 12.45 by 5. Fhhhhhhhhhhhhhhhh
    6·2 answers
  • Which of the following is equivalent to 1/3(6x-12y) ?
    7·1 answer
  • When an inequality is written in slope intercept form, the inequality symbol indicates which type of line to draw and which side
    9·1 answer
  • Solomon has $118 he wants to purchase concert tickets for himself and five friends each tickets cost $19 does he have enough mon
    10·1 answer
  • The quotient of a number and 2 is the same as the difference of the number double and 3. What’s is the numer
    10·1 answer
  • The endpoints of PQ are (4,1) and Q(4,8)
    8·1 answer
  • Lara is putting lace trim around the border of a circular tablecloth. The tablecloth has a diameter of 1.2 meters. What is the l
    6·1 answer
  • Erin wants to equally divide oatmeal bars among 5 friends. If she has 12 bars, how many bars will each friend receive
    11·1 answer
  • Easy points What is the product?
    12·1 answer
  • PLEASE HELP!! USATESTPREP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!